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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 486720.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
486720.c1 | 486720c1 | \([0, 0, 0, -20748, -1162928]\) | \(-244674248/3125\) | \(-12615782400000\) | \([]\) | \(1658880\) | \(1.3233\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 486720.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 486720.c do not have complex multiplication.Modular form 486720.2.a.c
sage: E.q_eigenform(10)